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Finding the Fourth Proportional to 1,311.30, 1,964.97 and 877.68

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Solution

The fourth proportional to 1,311.30, 1,964.97 and 877.68 is: 1,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.30 : 1,964.97 = 877.68 : x
  2. Step 2: Convert to fraction form
    1,311.30/1,964.97 = 877.68/x
  3. Step 3: Cross multiply
    1,311.30x = 1,964.97 × 877.68
  4. Step 4: Simplify right side
    1,311.30x = 1,724,614.87
  5. Step 5: Solve for x
    x = 1,724,614.87/1,311.30
  6. Step 6: Final answer
    x = 1,315.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.